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Finding the Third Proportional to 12,195,672 and 16,722,967.50

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Solution

The third proportional to 12,195,672 and 16,722,967.50 is: 22,930,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195,672 : 16,722,967.50 = 16,722,967.50 : x
  2. Step 2: Convert to fraction form
    12,195,672/16,722,967.50 = 16,722,967.50/x
  3. Step 3: Cross multiply
    12,195,672x = 16,722,967.50 × 16,722,967.50
  4. Step 4: Simplify right side
    12,195,672x = 279,657,642,006,056.25
  5. Step 5: Solve for x
    x = 279,657,642,006,056.25/12,195,672
  6. Step 6: Final answer
    x = 22,930,892.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.